The Kings Cross the Lake
For sixty years the Epiphany procession in Wilcza Wola has walked out over the frozen lake to a hole cut at the stone, with the three kings on the Kowalczyk horses. After a thin December the lake warden's assistant is asked whether the ice will bear them. It gives a growth estimate of 14 to 20 centimetres, drills eleven holes and finds 15 at the shore, 9 at a stream mouth and 6 over a spring; it counts snow-ice at half, so the good ice is 12 centimetres, which carries a man six times over and a horse not at all. It will not say the lake is safe. An old farmer draws the spring it could not see, and the horses wait on the shore.
On the second of January Halina Sokół went out on the lake with a hand auger, a steel tape and her granddaughter, and came back with the news that the Three Kings would walk this year, and the horses would not.
She did not say it like that. She said it at the kitchen table of the fire-station annexe, to the priest and the sexton and Zdzisław Kowalczyk, in the order in which she had found it out, because that was how the lake assistant had taught her to say things. The assistant was called Lustro, the mirror. It lived in a grey box on the wall of the boathouse, with a thermometer on a pole on the jetty and a camera that looked at the ice every hour, and it kept the lake's register: first ice, last ice, the depth of the snow and the names of everyone who had ever gone through.
"I will tell you what I asked it," she said, "and then what it said."
What she had asked on the twenty-ninth of December was whether the lake would bear the procession on the sixth. The procession had gone out over Lake Czarne on Epiphany every year since 1989, when Father Józef led it with a cross made of two fence posts. Four hundred and twenty people the year before: the parish, the school, the fire brigade in their helmets, the three kings in their paper crowns, and the Kowalczyk horses, because Zdzisław's father had lent the first two and the family had lent horses every year since. It went along a lane marked with spruce twigs for a hundred and twenty metres to a hole cut by the brigade at the old landing stone. There the priest blessed the water and the children threw in a coin each, which the brigade fished out afterwards for the new roof.
Lustro had said it could not tell her yet. It could tell her how fast ice grows, which is not the same as how thick it is, and then it could stop talking and let her drill.
The growth was an old rule, and it had worked it out in front of her. Ice thickens with the square root of the cold. Add up each day's degrees below freezing, the degree-days, take the square root, and multiply by a number between about 1.7 for a lake under snow and 2.4 for bare ice. The lake had frozen over on the seventeenth of December. Since then the days had averaged minus 3.6, for twenty days. "Seventy-two degree-days," Lustro had said. "The root of that is 8.5. Times 1.7 is 14.4 centimetres. Times 2.4 is 20.4. The snow came on the twenty-eighth, twenty-five centimetres of it, and snow is a blanket, so I would trust the low end. That is a guess about a lake I have not touched. Do not take a single person out on the strength of it."
So on the second she went and touched it.
"Eleven holes," she said now. "Every twenty metres along the lane, and then three more off to the sides. Ola held the tape."
She had a sheet of paper, and she read it flat. At the first six holes, from the shore to the landing stone, the ice was 14 to 15 centimetres. At the stream mouth, where the Szeroka flowed in under the reeds two hundred metres to the east, it was 9. Over the spring that the old fishermen called the Eye, at the far end of the lane, one hole had gone through at 6 centimetres, with water welling up the hole in the way water does when the lake is under a little pressure.
"That's good ice," said Zdzisław. "Fifteen is good ice. My father took a hay sledge over fifteen."
"Fifteen is what the tape said," said Halina. "Lustro asked me to look at the walls of the hole before I wrote it down."
She had. It was the second thing the assistant had asked for, and the one she had thought was fussing. A core of ice from a hole shows two layers, if you look. Under the surface lies the black, glassy ice that grew down from the cold, clear as a window. Over it, white and full of tiny bubbles, lies the ice that forms when the weight of snow pushes the lake up through the cracks and the slush freezes. They are not the same stuff. Clear ice is strong; white snow-ice is about half as strong, and in the thaw it goes first. At the fifteen-centimetre holes the clear layer was nine centimetres and the white six.
"So Lustro counted the white at half," said the sexton, who had followed it before the others. "Nine and three. Twelve."
"Twelve," said Halina. "The good ice is twelve."
The weights she had on a second sheet, because the assistant had given her those as numbers too, and had said where each came from.
The rule was an old one from the people who rescue and the people who build ice roads: a load that sits on one place (a person, a sledge runner, a hoof) is safe up to about 3.5 kilograms times the square of the thickness in centimetres, and the figure wants a safety factor on top, because ice is a natural material and every sheet has a bad day. On twelve centimetres of good ice: 3.5 times 144, which is 504 kilograms. On nine centimetres, 283. On six, 126.
"A man in a thick coat is eighty," said Lustro, in her ear, on the boathouse speaker, when she had read this out to the room on the second. "On twelve, that is more than six times under the limit. A man with a child on his shoulders is a hundred and ten, more than four times. A hundred and twenty people walking in pairs on twelve centimetres of ice is something this lake does without noticing. I would let it."
"And the horses?" said Zdzisław.
"A horse is five hundred kilograms and the rider is eighty, and the weight goes through four hooves that are close together, so for this purpose it is one load of five hundred and eighty. The ice will carry five hundred and four. That is a ratio of 0.87. A load under the limit, with room to spare, would be above one; the usual margin people ask for is two. The horse is not under the limit at all."
"They crossed for sixty years."
"They did," said Lustro, "and I have the register. In every one of those years the ice at Epiphany was thicker than this; the thinnest was 22 centimetres, in 2011. I cannot tell you what a horse does on twelve, because nobody has tried it here, or if they did they did not write it down. That is not a reason to try. It is a thing I do not know."
Zdzisław said nothing for a time. His father had died in September, and the horses were the last of what he had left of him. The priest, who had known this for four months, took the cup of tea that Halina had put in front of him and did not look up.
The assistant gave her three rules for the day, and she wrote them on the sheet in her own words.
The first was a count. Not more than eighty people on the ice at one time, in pairs, with five metres between the pairs, because six grown adults standing together weigh about as much as the limit and the lake did not need to be told so twice. "Four hundred and twenty people, in six waves," said Lustro. "Each wave is a minute or two out and the same back, and a few minutes at the hole. About twenty-five minutes for the whole procession. The Kings go first, because they are the ones people will follow, and last, because they are the ones who will stay."
The second was a width: the lane only, flagged with twigs and rope, and no one off it. The stream mouth was nine centimetres, the sort of ice that bears a man and not two, and it was two hundred metres from the lane, where anyone chasing a child or a dog would never go. "Two hundred metres on a lake is not far," it said. "The children will think so."
The third was the Eye. "I have one hole of 6 centimetres at the end of the lane. I do not know how big the thin patch is, or where it goes, because I drilled at twenty-metre spacing and a spring can be four metres across. I would like someone who knows to tell me, and I would like it before the sixth."
It was Zdzisław who told it.
He came to the annexe on the afternoon of the fourth, in his work coat, with a sheet of squared paper from his grandson's school book and a pencil with the point worn flat. He did not say good afternoon. He put the paper on the table and drew the landing stone, and the jetty, and a long oval that curved from the reeds east of the lane across to a dark mark in the middle of the water, and then a ring, round, about the size of a threshing floor.
"The Eye," he said. "My grandmother called it the oczko and she would not let us skate there, not in the fifties, not even in the cold. It's bigger than you think. And it moves, in a wind from the north-west, away from the stone. This is the edge, in a wind like we've had. You drilled it from the south."
"That's about a hundred and fifty metres from the stone," said Halina.
"It's twenty metres from your last hole," said Zdzisław. He did not say it as a rebuke, and she did not take it as one. He tapped the oval. "And there's a ridge here, along where the pressure has pushed up, which is where the ice is bent. A man can feel it with his boot if he knows to. Your machine can't."
Lustro agreed. It had Ola's three side holes on a plan on the boathouse screen, and when it laid Zdzisław's ring over them the centre of the ring fell between two of them, and one of its own readings, the 6, was the rim and not the middle. "Then the middle is thinner," it said. "I would not bring a load within forty metres of the ring. I take it as better than my plan. I will say in the log that I am using an old man's pencil, and that the pencil is more exact than my drill."
"Put my name on it," said Zdzisław. "Not my father's."
On the morning of the sixth the cold had held. Minus 6 at eight, minus 3 at noon, and Lustro said the ice had added another centimetre in the night over the shore holes and none at all in the Eye. Halina and Ola drilled the lane again, fourteen holes this time, and put the tape on every one. Fourteen, fifteen, fifteen, thirteen, fifteen, fourteen. The clear layer had grown to ten.
The three kings were Piotrek Wasiak, who was eleven, and the doctor, and Mr Nowak the baker, who was the oldest man in the parish who could be got to put on a paper crown. They went out at a quarter past one with the brigade behind them, in pairs, with the five metres between the pairs which looked ridiculous for the first minute and then made sense, because a lane with people a long way apart on it looks different from a lane with a crowd. On the shore the horses stood in the sun, two of them, in their best harnesses with the red ribbons on, held by Zdzisław's grandson. He had put them at the very edge of the bank, where the ice began, and they were looking out across the lake at the line of people going away from them.
The priest blessed the water at the hole at the landing stone. The doctor, who was holding the end of the rope, said afterwards that the ice at the lip of the hole was a hand's breadth thick and that he had never in his life been so aware of a hand. The children threw in their coins, and there were six waves, the last of them with the sexton and the sacristan and the Kings, and the whole thing took twenty-six minutes.
Nobody went in. Nobody had expected anyone to, which was not the same thing as the lake being safe, and Lustro said so in the log in the evening: that it had given a figure, that the figure had been right, that the lake had not been tested past it, and that it would not call a lane a certainty because it had been walked once.
On the way back, Mr Nowak stopped beside the horses on the bank, took off the paper crown, and bowed to them, quite slowly, from the waist.
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This story was written by an AI and is fiction. Wilcza Wola, Lake Czarne, the Szeroka stream, the Eye, the landing stone, Halina Sokół, Zdzisław Kowalczyk, Ola, the register of past winters (including the 2011 figure), Piotrek Wasiak, Mr Nowak, Father Józef, the fire brigade's annexe and the assistant Lustro are invented. The Three Kings' procession (Orszak Trzech Króli) is a real Polish Epiphany tradition; a procession onto a frozen lake is invented. The numbers are a worked model, not a safety standard. Ice growth uses the Stefan-type rule h (cm) ≈ α√(freezing degree-days) with α about 1.7 for a snow-covered lake and about 2.4 for bare ice: 20 days at -3.6 °C is 72 degree-days, √72 = 8.5, giving 14.4 and 20.4 cm. The load figure P (kg) ≈ 3.5 h² (h in cm) is the common rule of thumb for a single load on clear ice (12 cm gives 504 kg, 9 gives 283, 6 gives 126, 15 gives 788); agencies disagree about the coefficient, the safety margin and the minimum thickness for a group, white snow-ice is conventionally counted at half the strength of clear ice but real values vary, and none of this is a substitute for local advice. Horses of 500 kg and adults of 80 kg are round figures. Do not use the story to decide whether to go on ice; a thickness measured at one hole says nothing about the next one, and moving water, springs, reeds, pressure ridges, snow cover and thaws all make the same ice thinner a few metres away. Dates are invented. The audio is not rendered; this story is text only.